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Finding the Fourth Proportional to 595,713.20, 822,089.70 and 323,781.71

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Solution

The fourth proportional to 595,713.20, 822,089.70 and 323,781.71 is: 446,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,713.20 : 822,089.70 = 323,781.71 : x
  2. Step 2: Convert to fraction form
    595,713.20/822,089.70 = 323,781.71/x
  3. Step 3: Cross multiply
    595,713.20x = 822,089.70 × 323,781.71
  4. Step 4: Simplify right side
    595,713.20x = 266,177,604,728.94
  5. Step 5: Solve for x
    x = 266,177,604,728.94/595,713.20
  6. Step 6: Final answer
    x = 446,821.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.